Thank you For healthy individuals the level of prothrombin i

For healthy individuals the level of prothrombin in the blood is approximately normally distributed with mean 20 mg/100 mL and standard deviation 4 mg/100 mL. Low levels indicate low clotting ability. In studying the effect of gallstones on pro-thrombin, the level of each patient in a sample is measured to see if there is a deficiency. Let mu be the true average level of prothrombin for gallstone patients. a. What are the appropriate null and alternative hypotheses? b. Let X denote the sample average level of pro-thrombin in a sample of n = 20 randomly selected gallstone patients. Consider the test procedure with test statistic X and rejection region x

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